Linear fractional charge behaviour in DFT through dielectric tuning of CPCM

2021 ◽  
Author(s):  
Luke O. Hemmingsen ◽  
Oliver A. J. Hervir ◽  
Stephen G Dale
Keyword(s):  
Fractional Charge

scholarly journals Particle-antiparticle duality and fractionalization of topological chiral solitons

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Chang-geun Oh ◽  
Sang-Hoon Han ◽  
Seung-Gyo Jeong ◽  
Tae-Hwan Kim ◽  
Sangmo Cheon
Keyword(s):  
Chiral Symmetry ◽  
Time Reversal ◽  
Chiral Symmetry Breaking ◽  
Chain Model ◽  
Fractional Charge ◽  
Topological Solitons ◽  
Practical Applications ◽  
Topological System ◽  
Ssh Model ◽  
Chiral Solitons

AbstractAlthough a prototypical Su–Schrieffer–Heeger (SSH) soliton exhibits various important topological concepts including particle-antiparticle (PA) symmetry and fractional fermion charges, there have been only few advances in exploring such properties of topological solitons beyond the SSH model. Here, by considering a chirally extended double-Peierls-chain model, we demonstrate novel PA duality and fractional charge e/2 of topological chiral solitons even under the chiral symmetry breaking. This provides a counterexample to the belief that chiral symmetry is necessary for such PA relation and fractionalization of topological solitons in a time-reversal invariant topological system. Furthermore, we discover that topological chiral solitons are re-fractionalized into two subsolitons which also satisfy the PA duality. As a result, such dualities and fractionalizations support the topological $$\mathbb {Z}_4$$ Z 4 algebraic structures. Our findings will inspire researches seeking feasible and promising topological systems, which may lead to new practical applications such as solitronics.

scholarly journals Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments

2006 ◽  
Vol 74 (15) ◽  
Author(s):  
Eun-Ah Kim ◽  
Michael J. Lawler ◽  
Smitha Vishveshwara ◽  
Eduardo Fradkin
Keyword(s):  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Charge ◽  
Fractional Quantum Hall

Zero Modes & Fractional Charge in Bilayer Graphene

2011 ◽  
Author(s):  
J. C. Martinez ◽  
M. B. A. Jalil ◽  
S. G. Tan ◽  
Jisoon Ihm ◽  
Hyeonsik Cheong
Keyword(s):  
Bilayer Graphene ◽  
Fractional Charge ◽  
Zero Modes

scholarly journals Soliton fractional charge of disordered graphene nanoribbon

2019 ◽  
Vol 31 (26) ◽  
pp. 265601 ◽  
Author(s):  
Y H Jeong ◽  
S-R Eric Yang ◽  
M-C Cha
Keyword(s):  
Graphene Nanoribbon ◽  
Fractional Charge

Detection of fractional charge and quenching of the quantum Hall effect

1993 ◽  
Vol 47 (16) ◽  
pp. 10423-10436 ◽  
Author(s):  
Yuval Gefen ◽  
David J. Thouless
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Charge
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